I love this piece! I think you identified the problem, early-on in your article: Because women have been relegated to the bottom rungs of social power in America (and in most other countries), they've had to become collaborative in order to make gains toward equality and equity.
These patterns make it look as though women are naturally "better at" compassion and empathy. In reality, it's been a necessary evil in order for women to survive and advance in society. When we fail to teach these same skills to boys from a very young age, it sets up a fallacy that there's supposedly some magical genetic component giving women biological superiority in this realm.